Search a number
-
+
129723916563 = 32376135917789
BaseRepresentation
bin111100011010000100…
…1011110000100010011
3110101211200102202100100
41320310021132010103
54111133310312223
6135332213423443
712241452045243
oct1706411360423
9411750382310
10129723916563
11500198505aa
122118433ab83
13c30492ba57
1463c895db23
1535939cb043
hex1e3425e113

129723916563 has 48 divisors (see below), whose sum is σ = 196153963200. Its totient is φ = 82530627840.

The previous prime is 129723916559. The next prime is 129723916573. The reversal of 129723916563 is 365619327921.

129723916563 is a `hidden beast` number, since 1 + 2 + 9 + 72 + 3 + 9 + 1 + 6 + 563 = 666.

It is not a de Polignac number, because 129723916563 - 22 = 129723916559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129723916573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7283473 + ... + 7301261.

It is an arithmetic number, because the mean of its divisors is an integer number (4086540900).

Almost surely, 2129723916563 is an apocalyptic number.

129723916563 is a deficient number, since it is larger than the sum of its proper divisors (66430046637).

129723916563 is a wasteful number, since it uses less digits than its factorization.

129723916563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18252 (or 18249 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 129723916563 in words is "one hundred twenty-nine billion, seven hundred twenty-three million, nine hundred sixteen thousand, five hundred sixty-three".

Divisors: 1 3 9 37 61 111 183 333 359 549 1077 2257 3231 6771 13283 17789 20313 21899 39849 53367 65697 119547 160101 197091 658193 810263 1085129 1974579 2430789 3255387 5923737 6386251 7292367 9766161 19158753 40149773 57476259 120449319 236291287 361347957 389561311 708873861 1168683933 2126621583 3506051799 14413768507 43241305521 129723916563